82382888062464 has 640 divisors, whose sum is σ = 258097336713216. Its totient is φ = 23090614272000.

The previous prime is 82382888062429. The next prime is 82382888062513. The reversal of 82382888062464 is 46426088828328.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24732177279 + ... + 24732180609.

Almost surely, 2^{82382888062464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82382888062464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129048668356608).

82382888062464 is an abundant number, since it is smaller than the sum of its proper divisors (175714448650752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82382888062464 is a wasteful number, since it uses less digits than its factorization.

82382888062464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5470 (or 5454 counting only the distinct ones).

The product of its (nonzero) digits is 452984832, while the sum is 69.

The spelling of 82382888062464 in words is "eighty-two trillion, three hundred eighty-two billion, eight hundred eighty-eight million, sixty-two thousand, four hundred sixty-four".